Mr. Jarrett on Algebraic Notation. 99 



5. D^.u = Am, X only being made to vary. 



6. Ax . M = AM, the increment of x being unity. 



7. If u =f{x), then E^ .u =f{x -\- Dx). 



8. d'",M = -; — , (1""^ . d"u =: ~r- — =— , . 



rf^" " dx'".di/" 



d^u 1 



9- d-":,:u = -j—. 



dx"'' I .2.3 . ..m' 

 d"'*"u 



d", : d" : m = 



dx^.di/"' 1.2 .3...m.l.2.li .. .n' 



d" u 



10. d"^_ ^71 = -j—^ , X being put = a after the differentiations have 



been all performed. 



11. (/;,6 —f,,a) u =Judx, between the limits x = a and x = b. 



T. JARRETT. 



Cath. Hall, 

 Nov. 10, 1827- 



N 1 



